©2018TheAlgebros,LLC
Writeyourquestionshere!
2.5LiteralEquationsSolveeachequationforx:Ex1: Ex2:Arethereanydifferencesinhowwesolvedthese?Nowsolvethefollowingequationforathesameway.REMEMBER:Ex3:Howisitdifferentfromtheotherequations?Solutions?HOTTIP!Ex4:AreaofaTriangle,solveforb Ex5:PerimeterofaRectangle.Usethefollowingformulaforinterestandsolvethegivenvariables. A=Ex6:SolveforP. Ex7:Solvefort.
NOTES
©2018TheAlgebros,LLC
YouTry:1)Solvefory. 2)Solveforx.
SUMMARY:
2.5LiteralEquations
Directions:Pickthebestsolutionthatsolveseachequationfortheindicatedvariable.
1)!!= 𝑟𝑑, 𝑓𝑜𝑟 𝑎
a)𝑎 = !
!"
b)𝑎 = −𝑐𝑟𝑑c)𝑎 = 𝑐 + 𝑟𝑑d)𝑎 = 𝑐 − 𝑟𝑑
2)𝑔 = 𝑥𝑐 − 𝑦, 𝑓𝑜𝑟 𝑥.a)𝑥 = −𝑐𝑔 + 𝑐𝑦b)𝑥 = !!!
!
c)𝑥 = −𝑔 − 𝑦 − 𝑐d)𝑥 = !!!
!
Directions:Solveeachequationfortheindicatedvariable.3)𝑢 = 𝑎 + 𝑘 − 𝑏, 𝑓𝑜𝑟 𝑎 4)𝑧 = 𝑏 − 𝑎𝑚, 𝑓𝑜𝑟 𝑚
PRACTICE
©2018TheAlgebros,LLC
5)3𝑎 − 𝑐 = −1, 𝑓𝑜𝑟 𝑎 6)𝑔 = 3𝑥 + 2, 𝑓𝑜𝑟 𝑥.
7)𝑑 = 𝑟𝑡, 𝑓𝑜𝑟 𝑡 8)𝑧 = !!,forx
9)2𝑥 − 3𝑦 = 9, 𝑓𝑜𝑟 𝑦 10)2𝑥 − 𝑦 = 10 𝑓𝑜𝑟 𝑥
11)𝐴 = !!ℎ 𝑥 + 𝑦 , 𝑓𝑜𝑟 𝑥. 12)𝑦 − 𝑎 = 𝑚 𝑥 − 𝑏 , 𝑓𝑜𝑟 𝑥
©2018TheAlgebros,LLC
Directions:Simplifyeachexpression.13) 2𝑥 + 6 − 6𝑥! + 4𝑥 − 8 14) 2𝑦 − 5 2𝑦 + 5
15) 2𝑥 + 6 6𝑥! + 4𝑥 − 8 16) 2𝑦 − 5 + 2𝑦 + 5
2.5LiteralEquations
Directions:Solveeachequationfortheindicatedvariable.1)𝑦 = 𝑚𝑥 + 𝑏, 𝑓𝑜𝑟 𝑚. 2)5𝑥 + 3𝑦 = 18, 𝑓𝑜𝑟 𝑦
WRAP UP
©2018TheAlgebros,LLC
3.TheAlgebrossolvetheequationfory:2𝑥 − 3𝑦 = 15.WhichoneoftheiranswersdoyouthinkistheBESTanswer!CIRCLEIT!BEAN:𝑦 = !
!𝑥 − 5BRUST:𝑦 = !!
!!𝑥 + !"
!!KELLY:𝑦 = .6𝑥 − 5SULLY:𝑦 = !!!!!"
!!
JustifyyourreasoningwithCOMPLETEsentences.PickoneoftheAlgebrosthathasacorrectanswerbutthatyoudidn’tconsiderthebestanswer.Explainwhyyoudidn’tbelievetheyhadthebestanswer.Howcouldtheyhavemadetheiranswerbetter.EXIT TICKET –
Mr.Brustdecidesitshightimetolettheworldknowabouthistruepassion…playingtheThereminandTuvanThroatSinging.HebooksWembleyStadiuminLondonforhisfirstLIVESHOW!!!Hedecidestochargechildren$14.50andeachadult$27.25.Hehopestomakeatleast$100,000.
1)Picktwovariablesforthissituationanddefinewhattheymean.
2)Writeaformulausingyourvariables(careful…isthisformulaanequationorinequality?).
3)Solvethatformulaforthevariablethatyouhavedesignatedforthenumberofadults.
SMP#2
